The call comes in the wake of Glasgow's 23-11 defeat to the Dragons at Rodney Parade where two Warriors - Tom Ryder and DTH van der Merwe - were sin-binned and two Dragons players have subsequently been cited for alleged foul play by the match commissioner.
At present referees are drawn from neutral countries, but responsibility for selecting touch judges falls to the host Union of the country in which the game is taking place.
Italian referee Carlo Damasco took charge of Sunday's match but it was the performance of the Welsh touch judges - local referees Sean Brickell and David Williams - that prompted the call from the Glasgow coach.
"The game against the Dragons was really frustrating," said Sean in the Telegraph. "I know we didn't play the ref well but were up against 17 men for the game. It's appalling.
"We need neutral touch judges. Looking back on the game, and what went on, for the integrity of the competition it needs neutral touch judges."
The Dragons wing Aled Brew has been cited for an alleged dangerous tackle while his team-mate Scott Morgan has been cited for an alleged punch.
Although the touch judges were close to the action on both occasions, neither is believed to have drawn Damasco's attention to possible offences.
The Glasgow coach stressed that he did not blame the Welsh officials for his team's defeat. "There was an awful lot of off-the-ball stuff and it was incredibly frustrating," he said."But we didn't deserve to win the game because we didn't play in the first 40 minutes, and I'm not arguing about that. But I'm not the only coach talking about neutral touch judges."
Sean told the Scotsman: "That (tackle on DTH van der Merwe] was a spear tackle. It was incredibly dangerous. There was one less obvious in the Scarlets game that resulted in a yellow card.
"With DTH's yellow card, if you look at the provocation before it, Aled Brew is holding on to DTH right beside the touch judge and not letting him go.
"DTH tried to get him off, Aled came at him and DTH reacted, then Gavin Thomas comes in and gives him a slap and who's the one that gets yellow-carded?"
